Maths Roots: A CPA-based Primary Mathematics Programme for Grades 1–5

Maths Roots is a comprehensive primary mathematics programme for Grades 1–5, licensed from Marshall Cavendish Education, Singapore, and adapted by SAAR for Indian classrooms. Built on the Concrete-Pictorial-Abstract approach, Maths Roots helps learners move from hands-on experiences to visual models and then to abstract mathematical thinking. The programme supports conceptual understanding, fluency, problem solving, mathematical communication, reasoning, and real-world application.

Maths Roots brings Singapore-developed mathematics pedagogy to Indian classrooms through a complete Coursebook, Workbook, Teacher’s Guide, and Digital Resources package for Grades 1–5.

One programme. One pedagogy. Complete classroom support.

CPA Approach Singapore Maths Pedagogy Adapted for India NCF Aligned Grades 1–5 Print + Digital Learning

 

A Complete Primary Mathematics Package

Maths Roots is designed as a complete teaching and learning package. It provides schools with the resources they need to build strong mathematical foundations, support teachers, offer structured practice, and make classroom learning more engaging.

Coursebook

Builds conceptual understanding through carefully scaffolded lessons, real-world contexts, visual models, guided practice, and problem-solving opportunities.

Grades 1-5
Workbook

Provides independent practice, application-based questions, challenge questions, reflection, and reinforcement of concepts introduced in the Coursebook.

Grades 1-5
Teacher's Guide

Supports teachers with chapter-wise planning, teaching ideas, learning outcomes, vocabulary support, common errors, differentiation strategies, suggested answers, and lesson wrap-up support.

Grades 1-5
Digital Resources

Enriches learning through QR-linked videos, virtual manipulatives, digital heuristics, and additional resources for classroom and home use.

Grades 1-5
Why use a CPA-based Maths Programme?

Many children can follow the steps in maths but struggle to explain why those steps work. Maths Roots changes this by helping learners first experience the concept, then see the concept, and finally write it using numbers and symbols.

This is the essence of the CPA Approach.

Maths Roots helps learers move from doing maths to understanding maths.

Procedure-first Learning
CPA-based Learning
Learners are introduced to the rule first.
Learners build the idea first.
Learners follow the example.
Learners explore, represent, and discuss concepts.
Practice is often limited to similar sums.
Practice builds fluency, application, and problem solving.
The focus is mainly on answers.
The focus is on reasoning and communication.
Mistakes are corrected only at the end.
Misconceptions are addressed throughout learning.

The goal is not only to help children get answers. The goal is to help them build mathematical understanding, confidence, reasoning, fluency, and problem-solving ability.

Maths Roots helps learners understand mathematics before they are expected to perform mathematics.

Aligned with NCF

Maths Roots supports NCF by moving mathematics learning away from rote procedures and towards conceptual understanding, experiential learning, reasoning, problem solving, mathematical communication, and classroom discussion.

The programme encourages learners to explore, observe, represent, discuss, practise, apply, and reflect. It supports a more inquiry-based, discovery-based, discussion-based, experiential, collaborative, and competency-based approach to mathematics learning.

Maths Roots is designed to help schools bring NCF-aligned mathematics learning into the primary classroom with clarity, structure, and confidence.

Conceptual Understanding over Rote Learning

Experiential and Activity-based Learning

Inquiry, Exploration, and Discovery

Reasoning and Mathematical Communication

Problem-solving and Heuristics

Puzzles, Games, and Mathematical Thinking

Formative Assessment and Reflection

Differentiated Support for Diverse Learners

Digital and Interactive Learning Experiences

Designed for Understanding, Fluency, and Mastery

Every chapter in Maths Roots is carefully scaffolded to help learners build concepts step by step. The programme uses spiral progression, the CPA approach, visual models, problem-solving strategies, formative assessment, and meaningful practice to support long-term mathematical understanding.

Maths Roots builds understanding first, strengthens fluency next, and develops confident problem solvers over time.

Scaffolded
Learning

Lessons are structured so that learners receive the right support as they move from new concepts to guided practice and independent application.

Spiral
Progression

Important ideas are revisited across grades with increasing depth, fluency, and complexity.

Problem Solving at the Heart

Learners are encouraged to apply concepts in familiar and unfamiliar situations using strategies such as drawing diagrams, making lists, looking for patterns, guess-and-check, working backwards, and other heuristics.

Formative Assessment

Features such as Let’s Recall, Stop-Think-Go, Let’s Practise, thinking prompts, and reflection questions help teachers monitor understanding throughout the learning process.

Mathematical Communication

Learners are encouraged to explain their thinking, discuss strategies, compare methods, and communicate mathematical ideas.

Active and Joyful Learning

Games, puzzles, mascots, illustrations, open-ended questions, and classroom activities make maths more engaging and meaningful.

Differentiated Support

The programme includes support for learners who need more help as well as challenge tasks for advanced learners.

Coursebook and Workbook Structure

Maths Roots uses both the Coursebook and the Workbook to create a strong learning cycle. The Coursebook builds understanding in the classroom. The Workbook strengthens independent practice, application, assessment, and reflection.

Learners do not simply practise after a lesson. They practise after they have explored, discussed, represented, understood, and applied the concept.

Explore Learn Together Think Practise Discover Reflect

 

Coursebook: Classroom Learning
  • Chapter Opener
  • Let’s Explore
  • Let’s Recall
  • Let’s Learn Together
  • Stop-Think-Go
  • Let’s Practise
  • Let’s Discover
  • Mind Corner
  • Workbook Link
Workbook: Independent Practice
  • Worksheets
  • Application Questions
  • Problem-solving Questions
  • Challenge Questions
  • Thinking Prompts
  • Reflection

Teacher’s Guide and Classroom Support

A strong mathematics programme works best when teachers are well supported. Maths Roots gives teachers a structured guide to plan, teach, question, differentiate, assess, and close every lesson effectively.

The Teacher’s Guide supports both experienced and new teachers with practical classroom guidance, helping reduce lesson preparation time and strengthen classroom delivery.

Plan
  • Scheme of Work
  • Learning Outcomes
  • Materials
Teach
  • Teaching Ideas
  • Let’s Recall
  • Let’s Learn Together
Support
  • Common Errors
  • Vocabulary
  • Learners Needing More Support
Extend
  • Advanced Learners
  • Additional Activities
  • Challenge Questions
Assess
  • Workbook
  • Reflection
  • Suggested Answers
Close
  • Wrap Up
  • Consolidation

Digital Resources and QR Experience

Maths Roots combines print and digital learning to create a richer and more engaging mathematics classroom. QR-linked resources help learners watch, interact, explore, and practise beyond the printed page.

These resources support visual learning, active exploration, problem solving, and teacher-led classroom engagement.

Scan to Watch!
Watch short videos that bring lessons to life and spark your curiosity.
Scan to Explore!
Use interactive manipulatives and representations to master key concepts.
Scan to Solve!
Employ guided thinking strategies to break problems and find clear solutions.

Scan. Explore. Interact. Understand.

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Grade-wise Samples

Maths Roots is available for Grades 1 to 5. Each grade follows a clear progression of mathematical ideas, helping learners revisit concepts, deepen understanding, and build confidence year after year.

The programme uses a spiral structure so that important mathematical ideas are not treated as one-time topics. Learners return to key concepts with increasing depth, fluency, reasoning, and application.

Coursebook
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Workbook
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Teacher's Guide
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Workbook
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Teacher's Guide
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Kids Learning

Request a Maths Roots Demo or Sample Pack

Bring a structured, child-focused, NCF-aligned primary mathematics programme to your school.
Explore the Coursebook, Workbook, Teacher’s Guide, and digital resources with SAAR Education’s academic team.

Help learners move beyond solving sums to understanding mathematics.

Request Demo / Sample Pack Speak to Our Team
Maths Roots

Build Strong Mathematical Roots

Maths Roots helps children experience, visualise, understand, practise, and apply mathematics. With its CPA-based pedagogy, scaffolded lessons, problem-solving focus, teacher support, and digital resources, it gives schools a complete programme for primary mathematics learning.

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